Probability problems | Decision-making paradoxes | Probability theory paradoxes
The two envelopes problem, also known as the exchange paradox, is a paradox in probability theory. It is of special interest in decision theory, and for the Bayesian interpretation of probability theory. It is a variant of an older problem known as the necktie paradox.The problem is typically introduced by formulating a hypothetical challenge like the following example: Imagine you are given two identical envelopes, each containing money. One contains twice as much as the other. You may pick one envelope and keep the money it contains. Having chosen an envelope at will, but before inspecting it, you are given the chance to switch envelopes. Should you switch? Since the situation is symmetric, it seems obvious that there is no point in switching envelopes. On the other hand, a simple calculation using expected values suggests the opposite conclusion, that it is always beneficial to swap envelopes, since the person stands to gain twice as much money if they switch, while the only risk is halving what they currently have. (Wikipedia).
Resolution of the two envelope fallacy
I talk about a very simple solution to the two envelope fallacy. Watch this video first: https://youtu.be/OqVFKY504X0
From playlist Puzzles and Riddles
The Two Envelope Problem - a Mystifying Probability Paradox
There are two envelopes in front of you, and you know that one of them has ten times more money than the other. You pick randomly one envelope, but before taking it home, you are given the option to switch, and actually take the other envelope. Should you switch? That was (one version o
From playlist Summer of Math Exposition Youtube Videos
Solve The Two Envelopes Fallacy
A fallacy arising from a surprisingly simple situation. Can you figure out what the problem is with this reasoning?
From playlist Puzzles and Riddles
This Video Will Make You More Rational
Head to https://squarespace.com/brithemathguy to save 10% off your first purchase of a website or domain using code BRITHEMATHGUY The two envelope problem is a famous probability paradox! You're given the choice between two envelopes (each containing money) and the option to switch after
From playlist Paradoxical Probability
Systems of Equations with Elimination Two Variables Two Equations Example 1
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From playlist Systems of Equations
Systems of Equations with Elimination Two Variables Two Equations Example 2
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Systems of Equations with Elimination Two Variables Two Equations Example 2
From playlist Systems of Equations
In this video, we introduce the three scenarios that happen with systems of linear equations.
From playlist Systems of Equations
Ex 2: Solve a System of Two Equations Using a Matrix Equation
This video explains how to solve a system of two linear equations with two unknowns using a matrix equation. Site: http://mathispower4u Blog: http://mathispower4u.wordpress.com
From playlist Matrix Equations
How Understanding Probability Helps Us Make Better Decisions with Mehran Sahami
This talk was a part of Classes Without Quizzes at Reunion Homecoming 2016. As we make daily decisions, many people base them on initial reactions or gut feelings. However, powerful frameworks exist for making more effective decisions by analyzing available choices and their possible outc
From playlist Stanford Reunion Homecoming 2016
playlist at: http://www.youtube.com/view_play_list?p=8E39E839B4C6B1DE https://sites.google.com/site/shaunteaches/ help with basic algebra
From playlist Common Core Standards - 6th Grade
Mehran Sahami: How can you make the best possible decisions?
How do you make decisions in your daily life? Many people make seemingly reasonable, yet ultimately irrational decisions. However, we can learn to make more effective decisions through a careful analysis of our choices and the possible outcomes. Learn more from Stanford computer scient
From playlist Stanford Engineering Events
DEFCON 16: The Death Envelope: A Medieval Solution to a 21st Century Problem
Speaker: Matt Yoder, Security Researcher While many aftercare solutions and recommendations cover "average American" needs, none have tackled, full-on, the needs of the rapidly growing high tech segment of the population. As the amount of passwords and other secret "brainspace-only" info
From playlist DEFCON 16
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Shock waves and gamma-ray bursts from neutron star mergers - Andrei Beloborodov
Institute for Advanced Study Astrophysics Seminar Topic: Shock waves and gamma-ray bursts from neutron star mergers Speaker: Andrei Beloborodov Affiliation: Columbia University Date: October 8, 2020 For more video please visit http://video.ias.edu
From playlist Astrophysics Seminar
Computing with Randomness: Probability Theory and the Internet
October 21, 2010 - In recent years, probability theory has come to play an increasingly important role in computing. Professor Sahami gives examples of how probability underlies a variety of applications on the Internet including web search and email spam filtering. This lecture is offered
From playlist Reunion Homecoming
A brief overview of the 2021 Abel Prize Laureates’ work
A brief overview of the 2021 Abel Prize Laureates’ Avi Wigderson and László Lovász work by Alex Bellos. Alex Bellos is a British writer, broadcaster and populariser of mathematics. This clip is from the 2021 Abel Prize announcement. Illustrations by Edmund O. Harriss.
From playlist The Abel Prize Year 2021
Solve rational expressions by multiplying the LCD on both sides
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve Proportions with Trinomials
Homological algebra 6: Injective modules
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We study to following problem: are there enough injective modules, in the sense that every module is a submodule of an injecti
From playlist Commutative algebra